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Simplifying 4(-3y + 1) = 10(y + -4) + -14y Reorder the terms: 4(1 + -3y) = 10(y + -4) + -14y (1 * 4 + -3y * 4) = 10(y + -4) + -14y (4 + -12y) = 10(y + -4) + -14y Reorder the terms: 4 + -12y = 10(-4 + y) + -14y 4 + -12y = (-4 * 10 + y * 10) + -14y 4 + -12y = (-40 + 10y) + -14y Combine like terms: 10y + -14y = -4y 4 + -12y = -40 + -4y Solving 4 + -12y = -40 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 4 + -12y + 4y = -40 + -4y + 4y Combine like terms: -12y + 4y = -8y 4 + -8y = -40 + -4y + 4y Combine like terms: -4y + 4y = 0 4 + -8y = -40 + 0 4 + -8y = -40 Add '-4' to each side of the equation. 4 + -4 + -8y = -40 + -4 Combine like terms: 4 + -4 = 0 0 + -8y = -40 + -4 -8y = -40 + -4 Combine like terms: -40 + -4 = -44 -8y = -44 Divide each side by '-8'. y = 5.5 Simplifying y = 5.5
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